Given numbers are 765,406,772

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 765,406,772 is 119887740.

Find LCM of 765,406,772 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 765 x 203 x 386 = 119887740

Therefore, the lowest common multiple of 765,406,772 is 119887740.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

765 x 406 x 772 = 239775480

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

406 : 1, 2, 7, 14, 29, 58, 203, 406

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,406,772, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

406:2x 7x 29

772:2x 2x 193

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 239775480/(1x2)

LCM = 239775480/2

LCM = 119887740

Thus, we can understand that the LCM of 765,406,772 is 119887740.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 549, 248, 857
• LCM of 177, 208, 901
• LCM of 978, 227, 887
• LCM of 666, 618, 493
• LCM of 869, 372, 739

1. What is the LCM of 765, 406, 772?

Answer: LCM of 765, 406, 772 is 119887740.

2. How to calculate the LCM of 765, 406, 772?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 765, 406, 772.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.